
(/VERSIONCHECK 2) 

(DEFPARAMETER |VectorCategory;CAT| 'NIL) 

(DEFPARAMETER |VectorCategory;AL| 'NIL) 

(DEFUN |VectorCategory| (#1=#:G1801)
  (LET (#2=#:G1802)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluate| #1#) |VectorCategory;AL|)) (CDR #2#))
     (T
      (SETQ |VectorCategory;AL|
              (|cons5| (CONS #3# (SETQ #2# (|VectorCategory;| #1#)))
                       |VectorCategory;AL|))
      #2#)))) 

(DEFUN |VectorCategory;| (|t#1|)
  (PROG (#1=#:G1800)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV| (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
                          (COND (|VectorCategory;CAT|)
                                ('T
                                 (LETT |VectorCategory;CAT|
                                       (|Join|
                                        (|OneDimensionalArrayAggregate| '|t#1|)
                                        (|mkCategory|
                                         '(((+ ($ $ $))
                                            (|has| |t#1| (|AbelianSemiGroup|)))
                                           ((|zero| ($ (|NonNegativeInteger|)))
                                            (|has| |t#1| (|AbelianMonoid|)))
                                           ((- ($ $))
                                            (|has| |t#1| (|AbelianGroup|)))
                                           ((- ($ $ $))
                                            (|has| |t#1| (|AbelianGroup|)))
                                           ((* ($ (|Integer|) $))
                                            (|has| |t#1| (|AbelianGroup|)))
                                           ((* ($ |t#1| $))
                                            (|has| |t#1| (|Monoid|)))
                                           ((* ($ $ |t#1|))
                                            (|has| |t#1| (|Monoid|)))
                                           ((|dot| (|t#1| $ $))
                                            (|has| |t#1| (|Ring|)))
                                           ((|outerProduct|
                                             ((|Matrix| |t#1|) $ $))
                                            (|has| |t#1| (|Ring|)))
                                           ((|cross| ($ $ $))
                                            (|has| |t#1| (|Ring|)))
                                           ((|length| (|t#1| $))
                                            (AND (|has| |t#1| (|Ring|))
                                                 (|has| |t#1|
                                                        (|RadicalCategory|))))
                                           ((|magnitude| (|t#1| $))
                                            (AND (|has| |t#1| (|Ring|))
                                                 (|has| |t#1|
                                                        (|RadicalCategory|)))))
                                         NIL
                                         '((|Matrix| |t#1|) (|Integer|)
                                           (|NonNegativeInteger|))
                                         NIL))
                                       . #2=(|VectorCategory|)))))
               . #2#)
       (SETELT #1# 0 (LIST '|VectorCategory| (|devaluate| |t#1|))))))) 
